• Title/Summary/Keyword: nonlinear state transformation

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A study on the derivation of nonlinear transformation of state equation by using SVM (SVM을 이용한 상태 방정식의 정칙 변환 행렬의 유도에 관한 연구)

  • Wang, Fa Guang;Kim, Seong-Guk;Park, Seung-Kyu;Kwak, Gun-Pyong
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1648-1649
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    • 2007
  • This paper proposes a very novel method which makes it possible that state feedback controller can be designed for unknown dynamic system with measurable states. The RLS algorithm is used for the identification of input-output relationship. A virtual state space representation is derived from the relationship and the SVM(Support Vector Machines) makes the relationship between actual states and virtual states. A state feedback controller can be designed based on the virtual system and the SVM makes the controller be with actual states. The results of this paper can give many opportunities that the state feedback control can be applied for unknown dynamic systems

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APPLICATION OF EXTENDED LUENBERGER OBSERVER FOR INDUCTION MOTOR CONTROL

  • Jeong, Sam-Yong;Choi, Youn-Ok;Lee, Kang-Yeon;Cho, Geum-Bae;Baek, Hyung-Lae
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.304-309
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    • 1998
  • In this paper, authors introduce an application of a nonlinear rotor flux observer, known under the name of ELO(extended Luenberger Observer), for direct rotor field oriented control(DRFOC) of induction motor. ELO requires no solution of nonlinear partial differential equation for its coordinate transformation and linearization used for the nonlinear observer design. Its simulation results concerned to different level of unknown variables of load torque and rotor resistance show high accuracy on rotor flux estimation in steady state.

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State-Space Analysis on The Stability of Limit Cycle Predicted by Harmonic Balance

  • Lee, Byung-Jin;Yun, Suk-Chang;Kim, Chang-Joo;Park, Jung-Keun;Sung, Sang-Kyung
    • Journal of Electrical Engineering and Technology
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    • v.6 no.5
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    • pp.697-705
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    • 2011
  • In this paper, a closed-loop system constructed with a linear plant and nonlinearity in the feedback connection is considered to argue against its planar orbital stability. Through a state space approach, a main result that presents a sufficient stability criterion of the limit cycle predicted by solving the harmonic balance equation is given. Preliminarily, the harmonic balance of the nonlinear feedback loop is assumed to have a solution that determines the characteristics of the limit cycle. Using a state-space approach, the nonlinear loop equation is reformulated into a linear perturbed model through the introduction of a residual operator. By considering a series of transformations, such as a modified eigenstructure decomposition, periodic averaging, change of variables, and coordinate transformation, the stability of the limit cycle can be simply tested via a scalar function and matrix. Finally, the stability criterion is addressed by constructing a composite Lyapunov function of the transformed system.

Input-Output Feedback Linearizing Control With Parameter Estimation Based On A Reduced Design Model

  • Noh, Kap-Kyun;Dongil Shin;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.87.2-87
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    • 2001
  • By the state transformation including independent outputs functions, a nonlinear process model can be decomposed into two subsystems; the one(design model) is described in output variables as new states and used for control system synthesis and the other(disturbance model) is described in the original unavailable states and its couplings with the design model are treated as uncertain time-varying parameters in the design model. Its existence with respect to the design model is ignored. So, the design model is an uncertain time-variant system. Control synthesis based on a reduced design model is a combined ...

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Hierarchical Optimal Control of Nonlinear System using Haar Function (하알 함수를 이용한 비선형계의 계층별 최적제어)

  • Park, Jung-Ho;Cho, Young-Ho;Shin, Seung-Kwon;Chung, Je-Wook;Shim, Jae-Sun;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.485-487
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    • 1999
  • We propose the algorithm with which one can solve the problem of the two-level hierarchical optimal control of nonlinear systems by repeatedly updating the state vectors using the haar function and Picard's iteration methods. Using the simple operation of the coefficient vectors from the fast haar transformation in the upper level and applying that vectors to Picard iteration methods in the independently lower level allow us to obtain the another method except the inversion matrix operation of the high dimention and the kronecker product in the optimal control algorithm.

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$H_{\infty}$ Switching PSS and Load Variation Analysis ($H_{\infty}$ 스위칭 제어 비선형 전력계통안정화장치(NPSS) 설계 및 부하변동 분석)

  • Lee, Sang-Seung
    • Proceedings of the KIEE Conference
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    • 2005.07a
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    • pp.229-231
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    • 2005
  • This paper presents the nonlinear $H_{\infty}$ switching power system stabilizer (PSS) based on Lie group and Lie transformation theory. The proposed controller combines the $H_{\infty}$ switching controller and Lie theory. The proposed power system stabilizer (PSS) is used to improve the transient stability in the time-domain and to solve the problem associated with the inaccessible state variables by measuring only the angular velocity. In the simulation study, the different load conditions, fault periods, and fault locations are considered. The nonlinear time-domain simulation showed that the proposed controller was effective restoring transient stability in a one-machine infinite-bus power system.

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Study on the phase explosion phenomena during high power laser ablation of silicon (고출력 레이저 어블레이션에 의한 실리콘 가공시 발생하는 상폭발 현상에 관한 연구)

  • ;J. H. Yoo;R. Grief;R. E. Russo
    • Laser Solutions
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    • v.3 no.3
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    • pp.39-45
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    • 2000
  • The volume and depth of the craters produced on silicon samples during high power laser ablation show a strong nonlinear change as the laser irradiance increases across a threshold value, approximately 2.2$\times$10$\^$10/ W/㎠. Time-resolved shadowgraph images of the ablation plume reveal the ejection of large particulates from the sample for laser irradiance above the threshold, with a time delay of about 300-400 ㎱. The numerically estimated thickness of the superheated liquid layer, considering the transformation of liquid metal into liquid dielectric near the critical state, agrees with the measured agrees with crater depths. It is suggested that a phase explosion of the deep superheated liquid layer near the critical state is responsible for the measured sudden increase of crater volume and the ejection of large particulates.

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Design of a Nonlinear Observer for Mechanical Systems with Unknown Inputs (미지 입력을 가진 기계 시스템을 위한 비선형 관측기 설계)

  • Song, Bongsob;Lee, Jimin
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.6
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    • pp.411-416
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    • 2016
  • This paper presents the design methodology of an unknown input observer for Lipschitz nonlinear systems with unknown inputs in the framework of convex optimization. We use an unknown input observer (UIO) to consider both nonlinearity and disturbance. By deriving a sufficient condition for exponential stability in the linear matrix inequality (LMI) form, existence of a stabilizing observer gain matrix of UIO will be assured by checking whether the quadratic stability margin of the error dynamics is greater than the Lipschitz constant or not. If quadratic stability margin is less than a Lipschitz constant, the coordinate transformation may be used to reduce the Lipschitz constant in the new coordinates. Furthermore, to reduce the maximum singular value of the observer gain matrix elements, an object function to minimize it will be optimally designed by modifying its magnitude so that amplification of sensor measurement noise is minimized via multi-objective optimization algorithm. The performance of UIO is compared to a nonlinear observer (Luenberger-like) with an application to a flexible joint robot system considering a change of load and disturbance. Finally, it is validated via simulations that the estimated angular position and velocity provide true values even in the presence of unknown inputs.

The Study on the Consolidation Characteristics of South Coast Spoil Reclaimed Ground by Finite Strain Consolidation Theory (유한변형률 압밀이론에 의한 남해안준설토의 압밀특성에 관한 연구)

  • Songi, Myung-Gyu;Im, Jong-Chul;Kwon, Jeong-Geun;Ju, In-Gon
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.1170-1180
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    • 2009
  • Recently this country has carried out the coast reclamation centering on the west and south coast for effective practical use of a country, considering purchase of materials and environmental problem, most reclaiming work is processing to spoil reclamation which is easy to secure the amount of materials. In case of weak ground that is formed by spoil reclamation like this, initial moisture content is high, as slurry state that is rarely revealed ground strength, compressibility and water permeability have been shown nonlinear change by compaction progress. Analysis of weak ground is unreasonable because the existing Terzaghi compaction theory analyzes compaction fixed number to regular invariable number for prediction of compaction state. This study computes the relation with void ratio-effective pressure and void ratio-finite transformation which is the most basic matter to predict finite strain compaction state of the south coast spoil, and analyze the basic feature to predict compaction feature of the south coast spoil reclaimed ground.

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A Calculation Method for the Nonlinear Crowbar Circuit of DFIG Wind Generation based on Frequency Domain Analysis

  • Luo, Hao;Lin, Mingyao;Cao, Yang;Guo, Wei;Hao, Li;Wang, Peng
    • Journal of Power Electronics
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    • v.16 no.5
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    • pp.1884-1893
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    • 2016
  • The ride-through control of a doubly-fed induction generator (DFIG) for the voltage sags on wind farms utilizing crowbar circuits by which the rotor side converter (RSC) is disabled has being reported in many literatures. An analysis and calculation of the transient current when the RSC is switched off are of significance for carrying out the low voltage ride through (LVRT) of a DFIG. The mathematical derivation is highlighted in this paper. The zero-state and zero-input responses of the transient current in the frequency domain through a Laplace transformation are investigated, and the transient components in the time domain are achieved. With the characteristics worked out from the linear resolving without modeling simplification, the selection of the resistance in the linear crowbar circuit and the value conversion from a linear circuit to a nonlinear one is proposed to setup the attenuation rate. In terms of grid code requirements, the theoretical analysis for the time constant of the transient components attenuation insures the controllability when the excitation of the RSC is resumed and it guarantees the reserved time for the response of the reactive power compensation. Simulations are executed in MATLAB/SIMPOWER and experiments are carried out to validate the theoretical analysis. They indicate that the calculation method is effective for selection of the resistance in a crowbar circuit for LVRT operations.